Answer:

Step-by-step explanation:
Given
Let

So:
--- probability of O
--- Number of spin
Using the complement rule, the probability that a spin will not land on orange is:


Express as decimal


On two spins, the probability that it will not land on orange is:

So, we have:


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<em> --- approximated</em>
Answer:
D=36
Step-by-step explanation:
All angles of the triangle add up to 180. Subtract 180-59-55=66
Then the missing measurement is a vertical which means that E=66.
So then 180-78-66=36
Total area of the rectangular land = 2^15 sq. miles
= 32768 sq. miles
total area of the pieces being sold = 8^3 sq. miles
= 512 sq. miles
now total no. of pieces = total area of the land / the area of samaller land that's being sold
= 32768 / 512
= 64
so the actual number of pieces is 64
Answer:
c) Is not a property (hence (d) is not either)
Step-by-step explanation:
Remember that the chi square distribution with k degrees of freedom has this formula

Where N₁ , N₂m ....
are independent random variables with standard normal distribution. Since it is a sum of squares, then the chi square distribution cant take negative values, thus (c) is not true as property. Therefore, (d) cant be true either.
Since the chi square is a sum of squares of a symmetrical random variable, it is skewed to the right (values with big absolute value, either positive or negative, will represent a big weight for the graph that is not compensated with values near 0). This shows that (a) is true
The more degrees of freedom the chi square has, the less skewed to the right it is, up to the point of being almost symmetrical for high values of k. In fact, the Central Limit Theorem states that a chi sqare with n degrees of freedom, with n big, will have a distribution approximate to a Normal distribution, therefore, it is not very skewed for high values of n. As a conclusion, the shape of the distribution changes when the degrees of freedom increase, because the distribution is more symmetrical the higher the degrees of freedom are. Thus, (b) is true.
Answer:..
Step-by-step explanation: